I'm stuck on this I got square root 4096^-1/6 I don't know what to do next

Question

(Square root 16^3) ^-1/6

Answer 1

(Square root 16^3) ^-1/6
(√(16^3) )^(-1/6)
= 16^( (1/2)(3)(-1/6) )
= 16^(-3/12)
= 16^(-1/4)
= 1/16^(1/4)
= 1/2 or .5

or your way:
4096^(-1/6)
= .5 , using my calculator

Answer 2

Is there any other way to solve this?

Answer 3

Here is another slightly different way[16^(3/2)]^-1/6

(4^3)^-1/6

4^-1/2

1/4^(1/2)

1/2

.5